Seminar in Real and Complex Geometry

Wednesday, 15.04.2015, 16:00-17:00, Schreiber building, room 210

Shachar Carmeli, Weizmann Institute

On the stability and Gelfand property of symmetric pairs


A symmetric pair of reductive groups (G,H) over a local field of characteristic 0 is called stable if every closed double coset of H in G is preserved by the anti involution corresponding to H. This property is closely related to the Gelfand property. In my talk I present a method to decide the stability of symmetric pairs. I also link this property with the uniqueness of open orbits of H in parabolic quotients of G and use the method to produce many examples of Gelfand pairs.